6. The path of a ball is given by y =- tx2 + 3x + 5 where y is the height (in feet) of 20 the ball and x is the horizontal distance (in feet) from where the ball was thrown. (a) Find the maximum height of the ball. (b) Which number determines the height at which the ball was thrown? Does changing this value change the coordinates of the maximum height of the ball? Explain.

Q: 2. A boat on a lake is 3 miles from the nearest point on a straight shoreline. That point is 5 miles…

A: Consider the given information and the figure:

Q: What is the maximum point of the curve y = x3 – 12x + 8   What is the inflection point of the curve…

A:

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p=60-0.0125z,…

A: The revenue function is R=x·p, where p=60-0.0125x. Calculate the revenue function.…

Q: What is the minimum point of the curve y = x2 – 6x + 4  Please make the solution comprehensible.

A: This question is based on application of derivative.

Q: One of the stationary points of the function y = 4z5 – 6z + z2 - 2 is (-1,1 Is this a maximum or…

A: Given: One of the stationary point of the function y = 4x5 -6x3+x2 -2 is (-1, 1). To find: Is the…

Q: I hope to explain the question in steps Find the maximum and minimum values of f(x,y)=…

A:

Q: 1. After an aggressive marketing campaign in the local community, Lumyn Electronics discovered that…

A: The total cost in a month, C is given by the function:C = 25n2 - 1,500n + 25,000 where n represents…

Q: What is the maximum value of the function f(x, y) = 4 – x² – 2y? subject to the constraint 2 + y? =…

A:

Q: Suppose that the profit (in hundreds of dollars) of a pharmaceutical company is approximated by P(x,…

A: Given,Px,y=1500+36x-1.5x2+120y-2y2 it is a function in two variable , to find the maximum of px,y.

Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

A:

Q: 6. a. Clare is cycling at a speed of 12 miles per hour. If she starts at a position chosen as zero,…

A:

Q: 6. Find the maximum area of a rectangle in the first quadrant where one side of the rectangle lies…

A:

Q: IV. The path of a ball is given by y = - 16x? + 48x + 5, where y is the height of the ball and x is…

A:

Q: There is a 4 km long straight beach. At one end, there is a boat anchored at A, 3 km off the beach.…

A:

Q: Q1. The sum of three positive numbers is 30, find the three numbers if their product is minimum?

A: Topic- Number System

Q: 2017 F Q2 Find the set of values of k for which the line y = 3x + k and the curve y= 2x- 3x + 4 do…

A:

Q: The municipal Parks Department is planning a new flower bed outside the city hall. It will be…

A: Given that the dimensions of the rectangular park are 9 m by 6 m. The flower bed will be surrounded…

Q: 1. Is it possible for the graphs of two different quadratic functions to each have x= -3 as its line…

A:

Q: I need help with question 5 in Section 4.7, page 337, in the James Stewart Calculus Eighth Edition…

A: The vertical difference between the given two graphs is obtained by subtracting equation (2) from…

Q: What is the difference between the maximum and minimum of the quantity (x2y2)/25 where x and y are…

A:

Q: A pharmaceutical company is developing a new antibiotic. The cost in thousands of dollars to develop…

A: Th cost function is  Cx, y=2200+27x3-72xy+8y2   p=dCdx=ddx2200+27x3-72xy+8y2=81x2-72y…

Q: Two Canadian bicyclists are training for the Summer Olympics. On their initial locations, one of…

A:

Q: Every second counts You must get from a point P on the straightshore of a lake to a stranded swimmer…

A: Since you have posted multiple questions. We will solve first two questions for you. If you want any…

Q: Addison and Kelsey are running on a path modeled by x² + y²-14x-16y-2870, where the distance is in…

A: Follow the procedure given below.

Q: csec²x +secx -2=0 3cotx-3=0

A: Given: 3 cotx -3=0

Q: x +y + 2z=1 2x-y-z = 0 x +2y-z = 4

A: Follow the steps below.

Q: Let x and y be two edges of a rectangle. 30 - =-(v? +3y-9). then what is the maximum area of this…

A: Area of the rectangle is given by A=xy Where x and y are the edges of rectangle.

Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $112…

A: The solution of the problem is given in the next steps.

Q: An offshore oil well is located in the ocean at point W, which is 5 miles from the closest…

A:

Q: 1. A 12-meter wire is cut into two pieces so that x meters will be used to form a circle and the…

A:

Q: 1. Solve the difference x²-2x-8 <0. 2. Calculate the minimum distance from the origo to the line y =…

A: Introduction: When the product of two real quantities is positive, either both of them are positive…

Q: Plz solve

A: Given: Where x is unit cost of chips, y is cost of unit of labor.

Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A:

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include…

A: The given differential equations is y′=−6x+3.

Q: The government proposed to utilize a government-owned land with an area of 12,150 square meters.…

A: Let x be the number of additional trees on the same area. Then total number of trees on the area=…

Q: An offshore oil well located at a point W that is 5 km from the closest point A on a straight…

A: Make a diagram using the given statements Now we find the cost function   cost of laying…

Q: 4. A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A:

Q: The manager of a 100 unit apartment complex is trying to decide what to charge for rent. Experience…

A:

Q: The marketing department at XYZ Company has found that, when Product ABC is sold at a price of p…

A: Given p = cost of the item x = sale of the item costing 'p'.  x = 280-14p R = Revenue, xp   To find:…

Q: csec?x +secX -2=0

A: Given equation sec2x+secx−2=0

Q: Please

A: The given function is

Q: Suppose that x and y are two positive numbers, and suppose that x + 2y = 30. Find the maximum value…

A: Given data:   The first equation is x+2y=30. The expression for the function is f(x,y)=(x+1)(y+3).…

Q: According to the shipping regulation of a company, the girth plus the length of a parcel sent by…

A:

Q: f. An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric…

A:

Q: 10. In the standard (x, y) coordinate plane, line r contains the points (6, 5) and (b,-5), and line…

A: Two lines are parallel when the slopes are equal.

Q: 2. Suppose Kim can run at 8 miles per hour and swim at 2 miles per hour. As shown in the figure…

A:

Q: 2. Suppose Kim can run at 8 miles per hour and swim at 2 miles per hour. As shown in the figure…

A:

Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

A:

Q: In the article "Do Dogs Know Calculus?" the author Timothy Pennings explained how he noticed that…

A: Given: Speed on the sand = 6.2 m/s Speed on the water = 0.94 m/s To find: The distance x from C so…

Q: Estimate the slope of the graph at x=0. AY 5- 4 2- -109 6 54 19 2345 6 7 8 9 10 -2 -4 -5- -2 O 1 O 2…

A: Given: The graph is To determine: The slope of the graph at x=0.